Applied Control Engineering

Assignment $2$

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Model Development for a Basic Tank Level Control System

Fig $1$: Example Closed Loop Control System

$1.$ Calculate the closed loop transfer function for the system shown in Fig $1$ above. Enter all calculations in the sheets provided.

$2.$ What is the order of this system, justify your answer.

$3.$ When comparing your transfer function to that of a general $\backslash (2^\{\backslash$text $\{$nd $\}\}\backslash )$ order system, what values determine the frequency of the output oscillation.

$4.$ What parameter$($s$)$ control the step response envelope. which you have just developed, for this system.

$6.$ Use this transfer function $($Matlab Code$)$ to alter the pole positions for this system so that it's step response changes.

$7.$ Explain what parameters control the system step response and demonstrate, using your programs outputs how changing these parameters alter the response.

$8.$ You MUST explain in as much detail as possible why the responses are changing.